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Chapter 6: Problem 13

Find \(75 \%\) of 250 . A. 187.5 B. 18.75 C. 1875 D. 18750

Short Answer

Expert verified
A. 187.5

Step by step solution

01

Identify the percentage and total

The exercise asks us to find 75% of 250. Here, 75% is the percentage, and 250 is the total from which we need to find the percentage value.
02

Convert percentage to decimal

To find 75% of a number, we first convert the percentage to a decimal. This is done by dividing the percentage by 100. So, 75% becomes \(0.75\).
03

Multiply the decimal by the total

Now, multiply the decimal form of the percentage by the total to find the desired value. Calculate \(0.75 \times 250\).
04

Perform the multiplication

Do the multiplication: \(0.75 \times 250 = 187.5\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Decimal Conversion
When working with percentages, the first step is to convert the percentage into a decimal. This is a crucial part of solving percentage problems, as it simplifies the arithmetic involved in further calculations.
The conversion process is straightforward and involves dividing the percentage by 100.
For instance, if you have a percentage of 75%, you will divide 75 by 100 to convert it into a decimal. So, 75% becomes 0.75.
This process is essential because the decimal representation of a percentage is easier to use in multiplication, especially when calculating a part of a whole. Remember:
  • Percent to decimal: divide by 100
  • Decimal to percent: multiply by 100
Multiplication
Once you have your percentage in decimal form, the next step is to multiply. This operation helps determine what portion of a whole number corresponds to the percentage.
In our example, we have the decimal 0.75 and the total number is 250. By multiplying these two values, you can find out what 75% of 250 equals.
Here's how you should approach it:
  • Set up your multiplication equation: in this case, it's 0.75 times 250.
  • Calculate the product, which will give you the portion of the whole number represented by the percentage.
For the multiplication 0.75 脳 250, the result is 187.5.
This result means that 75% of 250 is 187.5.
Step-by-Step Solution
To fully understand how a percentage of a number is calculated, follow the step-by-step methodical approach, as it makes the problem solving clear and manageable.
Here鈥檚 a breakdown:
  • Step 1: Identify all parts 鈥� the percentage value (75%) and the total (250).
  • Step 2: Convert the percentage to a decimal (75% becomes 0.75 by dividing by 100).
  • Step 3: Multiply the decimal by the total (calculate 0.75 脳 250).
  • Step 4: Perform the multiplication to find the result (0.75 脳 250 = 187.5).
Following this clear path ensures accurate calculations and strengthens your understanding of percentages and decimals.

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Most popular questions from this chapter

Write \(6 \frac{3}{4}\) as a percent. A. \(6.75 \%\) B. \(67.5 \%\) C. \(675 \%\) D. \(0.675 \%\)

\(38 \%\) of 114 is what number? A. 300 B. 43.32 c. 30 D. 4332

Write \(84 \%\) as a reduced fraction. A. \(\frac{21}{25}\) B. \(1 \frac{4}{25}\) c. \(\frac{1}{84}\) D. \(\frac{84}{100}\)

Write \(\frac{4}{9}\) as a percent. A. \(4 . \overline{4} \%\) 8\. \(0 . \overline{4} \%\) C. 44496 \(44 . \overline{4} \%\)

Write \(22.2 \%\) as a decimal. A. 0.0222 B. 2.22 C. 0.222 D. 22.2
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